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Search: id:A123143
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| A123143 |
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a(0)=0, a(1)=1, a(2)=2; a(3n)=a(n), a(3n+1)=a(n)+a(n+1), a(3n+2)=a(n+1)+a(n+2) |
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+0
1
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| 0, 1, 2, 1, 3, 3, 2, 3, 4, 1, 4, 6, 3, 6, 5, 3, 5, 5, 2, 5, 7, 3, 7, 5, 4, 5, 5, 1, 5, 10, 4, 10, 9, 6, 9, 9, 3, 9, 11, 6, 11, 8, 5, 8, 8, 3, 8, 10, 5, 10, 7, 5, 7, 7, 2, 7, 12, 5, 12, 10, 7, 10, 10, 3, 10, 12, 7, 12, 9, 5, 9, 9, 4, 9, 10, 5, 10, 6, 5, 6, 6, 1, 6, 15, 5, 15, 14, 10, 14, 14, 4, 14, 19
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Similar to A002487 but the base is 3.
First occurrence of k beginning with 0: 0,1,2,4,8,14,11,20,41,32,29,38,56,122,86,83,128,113,101,92,110,200,173,347,257,419,..., . (Robert G. Wilson v)
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EXAMPLE
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a(11) = a(4)+a(5) = a(1)+a(2)+a(2)+a(3) = 2(a(1)+a(2)) = 6.
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MAPLE
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a[0]:=0: a[1]:=1: a[2]:=2: for n from 1 to 38 do a[3*n]:=a[n]: a[3*n+1]:=a[n]+a[n+1]: a[3*n+2]:=a[n+1]+a[n+2] od: seq(a[n], n=0..115); (Deutsch)
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MATHEMATICA
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a[0] = 0; a[1] = 1; a[2] = 2; a[n_] := Switch[Mod[n, 3], 0, a[n/3], 1, a[(n - 1)/3] + a[(n + 2)/3], 2, a[(n + 1)/3] + a[(n + 4)/3]]; Table[ a[n], {n, 0, 93}] (Robert G. Wilson v)
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CROSSREFS
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Sequence in context: A159945 A089216 A102746 this_sequence A128133 A032434 A002347
Adjacent sequences: A123140 A123141 A123142 this_sequence A123144 A123145 A123146
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KEYWORD
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nonn
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AUTHOR
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WAGNER Kurt (wagner.kurt(AT)chello.at), Oct 01 2006
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EXTENSIONS
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More terms from Robert G. Wilson v and Emeric Deutsch (deutsch(AT)duke.poly.edu) Oct 07 2006
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